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Finding the Third Proportional to 302.25 and 480.19

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Solution

The third proportional to 302.25 and 480.19 is: 762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.25 : 480.19 = 480.19 : x
  2. Step 2: Convert to fraction form
    302.25/480.19 = 480.19/x
  3. Step 3: Cross multiply
    302.25x = 480.19 × 480.19
  4. Step 4: Simplify right side
    302.25x = 230,580.04
  5. Step 5: Solve for x
    x = 230,580.04/302.25
  6. Step 6: Final answer
    x = 762.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.